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Under regularity conditions plus the strong Legendre condition, this function is Lipschitz continuous.<\/jats:p>","DOI":"10.1137\/140981368","type":"journal-article","created":{"date-parts":[[2015,8,18]],"date-time":"2015-08-18T11:54:19Z","timestamp":1439898859000},"page":"2514-2540","source":"Crossref","is-referenced-by-count":35,"title":["On Some Continuity Properties of the Measure Lagrange Multiplier from the Maximum Principle for State Constrained Problems"],"prefix":"10.1137","volume":"53","author":[{"given":"A. V.","family":"Arutyunov","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"D. Yu.","family":"Karamzin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,8,18]]},"reference":[{"key":"atypb1","first-page":"475","volume":"125","author":"Gamkrelidze R.V.","year":"1959","journal-title":"Dokl. Akad. 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